What is the Greatest Common Factor of 60309 and 60321?

Greatest common factor (GCF) of 60309 and 60321 is 3.

GCF(60309,60321) = 3

We will now calculate the prime factors of 60309 and 60321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60309 and 60321.

How to find the GCF of 60309 and 60321?

We will first find the prime factorization of 60309 and 60321. After we will calculate the factors of 60309 and 60321 and find the biggest common factor number .

Step-1: Prime Factorization of 60309

Prime factors of 60309 are 3, 6701. Prime factorization of 60309 in exponential form is:

60309 = 3² × 6701¹

Step-2: Prime Factorization of 60321

Prime factors of 60321 are 3, 20107. Prime factorization of 60321 in exponential form is:

60321 = 3¹ × 20107¹

Step-3: Factors of 60309

List of positive integer factors of 60309 that divides 60309 without a remainder.

1, 3, 9, 6701, 20103

Step-4: Factors of 60321

List of positive integer factors of 60321 that divides 60309 without a remainder.

1, 3, 20107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60309 and 60321. The biggest common factor number is the GCF number.
So the greatest common factor 60309 and 60321 is 3.

Also check out the Least Common Multiple of 60309 and 60321